The perimeter of the rectangle is 6 in 8 cm, one of its sides is 1 in 6 cm shorter than the other.

The perimeter of the rectangle is 6 in 8 cm, one of its sides is 1 in 6 cm shorter than the other. Find the area of this rectangle.

for a rectangle P = 2 * (A + B), where A, B are the lengths of the sides. We translate all measurements in cm and get:
B = A + 16, 68 = 2 * (A + A + 16). Let’s find the lengths of the sides and the area S = A * B.
2 * A = 68 – 32
A = 18, B = 18 + 16 = 34.
S = 18 * 34 = 612 cm2.